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Finding the Fourth Proportional to 329.82, 455.51 and 219.76

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Solution

The fourth proportional to 329.82, 455.51 and 219.76 is: 303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.82 : 455.51 = 219.76 : x
  2. Step 2: Convert to fraction form
    329.82/455.51 = 219.76/x
  3. Step 3: Cross multiply
    329.82x = 455.51 × 219.76
  4. Step 4: Simplify right side
    329.82x = 100,100.64
  5. Step 5: Solve for x
    x = 100,100.64/329.82
  6. Step 6: Final answer
    x = 303.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.